Finite Group Databasebeta

← C22×#14786 #72337048

Subgroups — C22×#14786 #72337048

Order 1024.

76293 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C25×C4⋊C4C211yesmaximal, characteristic
2C23×#398C212yesmaximal, complemented
3C23×#385C211yesmaximal, characteristic
4C23×#385C212yesmaximal
5C2×#14786C2148yesmaximal, direct product factor
6C22×#1445C212yesmaximal, complemented
7C22×#1444C212yesmaximal, complemented
8C22×#1441C212yesmaximal, complemented
9C22×C22⋊#95C211yesmaximal, characteristic
10C22×C22⋊#95C212yesmaximal
11C26×C4C2211yescharacteristic
12C26×C4C2212yes—
13C24×C4⋊C4—232no—
14C24×C4⋊C4—216no—
15C24×C4⋊C4C2212yes—
16C24×C4⋊C4C22124yes—
17C24×C4⋊C4C2211yescharacteristic
18C24×C4⋊C4C2211yescharacteristic
19C24×C4⋊C4C2214yes—
20C24×C4⋊C4C2212yes—
21C24×C22⋊C4C2211yescharacteristic
22C24×C22⋊C4C2211yescharacteristic
23C24×C22⋊C4C2212yes—
24C22×#398—232no—
25C22×#398C22148yescomplemented
26C22×#385—232no—
27C22×#385—216no—
28C22×#385C22124yes—
29C22×#385C22148yes—
30C23×#95C2214yes—
31C23×#95C2211yescharacteristic
32C23×#95C2211yescharacteristic
33C23×#95C2214yes—
34C23×#95C2212yes—
35C23×#95C2212yes—
36C23×#95C2214yes—
37#14786C221256yesdirect product factor
38C2×#1445C22148yescomplemented
39C2×#1444C22148yescomplemented
40C2×#1441C22148yescomplemented
41C2×C22⋊#95C22124yes—
42C2×C22⋊#95C22148yes—
43C27C2311yescharacteristic
44C25×C4—216no—
45C25×C4—216no—
46C25×C4—216no—
47C25×C4—216no—
48C25×C4—232no—
49C25×C4—216no—
50C25×C4—216no—
51C25×C4—416no—
52C25×C4D4116yes—
53C25×C4C2311yescharacteristic
54C25×C4C2311yescharacteristic
55C25×C4C23112yes—
56C25×C4C2314yes—
57C25×C4C2311yescharacteristic
58C25×C4C2311yescharacteristic
59C25×C4C2314yes—
60C25×C4C23124yes—
61C25×C4C2311yescharacteristic
62C25×C4C2311yescharacteristic
63C23×C4⋊C4—2512no—
64C23×C4⋊C4—232no—
65C23×C4⋊C4—2192no—
66C23×C4⋊C4—216no—
67C23×C4⋊C4—216no—
68C23×C4⋊C4—216no—
69C23×C4⋊C4—2384no—
70C23×C4⋊C4—232no—
71C23×C4⋊C4—28no—
72C23×C4⋊C4—28no—
73C23×C4⋊C4—232no—
74C23×C4⋊C4—216no—
75C23×C4⋊C4—216no—
76C23×C4⋊C4—416no—
77C23×C4⋊C4D4132yes—
78C23×C4⋊C4C23112yes—
79C23×C4⋊C4C23124yes—
80C23×C4⋊C4C23164yes—
81C23×C4⋊C4C23112yes—
82C23×C4⋊C4C23148yes—
83C23×C4⋊C4C23124yes—
84C23×C22⋊C4—28no—
85C23×C22⋊C4—216no—
86C23×C22⋊C4—28no—
87C23×C22⋊C4—216no—
88C23×C22⋊C4—28no—
89C23×C22⋊C4—216no—
90C23×C22⋊C4D4116yes—
91C23×C22⋊C4Q8132yes—
92C23×C22⋊C4C23112yes—
93C23×C22⋊C4C23112yes—
94C23×C22⋊C4C23124yes—
95C2×#398—2384no—
96C2×#398C231128yescomplemented
97C2×#385—2192no—
98C2×#385—2384no—
99C2×#385C23164yes—
100C2×#385C231128yes—
101C22×#95—232no—
102C22×#95—28no—
103C22×#95—28no—
104C22×#95—216no—
105C22×#95—232no—
106C22×#95—216no—
107C22×#95—416no—
108C22×#95C23124yes—
109C22×#95C23148yes—
110C22×#95C23148yes—
111C22×#95C23112yes—
112C22×#95C23112yes—
113C22×#95C23124yes—
114C22×#95C23148yes—
115#1445C231128yescomplemented
116#1444C231128yescomplemented
117#1441C231128yescomplemented
118C22⋊#95C231128yes—
119C22⋊#95C23164yes—
120C26—28no—
121C26—28no—
122C26—28no—
123C26—28no—
124C26C2×D418yes—
125C26C2×D418yes—
126C26C2×Q8116yes—
127C26#4118yes—
128C26#41116yes—
129C26C2416yes—
130C26C2411yescharacteristic
131C24×C4—2512no—
132C24×C4—2128no—
133C24×C4—28no—
134C24×C4—296no—
135C24×C4—28no—
136C24×C4—28no—
137C24×C4—28no—
138C24×C4—2128no—
139C24×C4—2128no—
140C24×C4—296no—
141C24×C4—296no—
142C24×C4—2256no—
143C24×C4—296no—
144C24×C4—216no—
145C24×C4—216no—
146C24×C4—216no—
147C24×C4—24no—
148C24×C4—24no—
149C24×C4—216no—
150C24×C4—28no—
151C24×C4—216no—
152C24×C4—216no—
153C24×C4—24no—
154C24×C4—24no—
155C24×C4—216no—
156C24×C4—28no—
157C24×C4—216no—
158C24×C4—216no—
159C24×C4—216no—
160C24×C4—28no—
161C24×C4—216no—
162C24×C4—28no—
163C24×C4—216no—
164C24×C4—2192no—
165C24×C4—296no—
166C24×C4—24no—
167C24×C4—24no—
168C24×C4—28no—
169C24×C4—296no—
170C24×C4—28no—
171C24×C4—28no—
172C24×C4—28no—
173C24×C4—28no—
174C24×C4—28no—
175C24×C4—496no—
176C24×C4—4256no—
177C24×C4—4256no—
178C24×C4—4128no—
179C24×C4—4128no—
180C24×C4C2×D4132yes—
181C24×C4C2×D4196yes—
182C24×C4C2×D418yes—
183C24×C4C2×D418yes—
184C24×C4C2×D4116yes—
185C24×C4C2×D418yes—
186C24×C4C2×D418yes—
187C24×C4C2×Q8132yes—
188C24×C4#41116yes—
189C24×C4C2416yes—
190C24×C4C2416yes—
191C24×C4C24124yes—
192C24×C4C24116yes—
193C24×C4C2416yes—
194C24×C4C2416yes—
195C24×C4C24124yes—
196C24×C4C24132yes—
197C24×C4C2416yes—
198C24×C4C2416yes—
199C22×C4⋊C4—2256no—
200C22×C4⋊C4—23072no—
201C22×C4⋊C4—2256no—
202C22×C4⋊C4—2192no—
203C22×C4⋊C4—2256no—
204C22×C4⋊C4—296no—
205C22×C4⋊C4—296no—
206C22×C4⋊C4—296no—
207C22×C4⋊C4—2512no—
208C22×C4⋊C4—2192no—
209C22×C4⋊C4—296no—
210C22×C4⋊C4—2192no—
211C22×C4⋊C4—248no—
212C22×C4⋊C4—248no—
213C22×C4⋊C4—296no—
214C22×C4⋊C4—496no—
215C22×C4⋊C4—4256no—
216C22×C4⋊C4—464no—
217C22×C4⋊C4—464no—
218C22×C4⋊C4C2×D41192yes—
219C22×C4⋊C4C24116yes—
220C22×C4⋊C4C24132yes—
221C22×C4⋊C4C24116yes—
222C22×C4⋊C4C24164yes—
223C22×C4⋊C4C24132yes—
224C22×C22⋊C4—2128no—
225C22×C22⋊C4—2256no—
226C22×C22⋊C4—248no—
227C22×C22⋊C4—296no—
228C22×C22⋊C4—248no—
229C22×C22⋊C4—296no—
230C22×C22⋊C4—248no—
231C22×C22⋊C4—296no—
232C22×C22⋊C4—464no—
233C22×C22⋊C4C2×D4196yes—
234C22×C22⋊C4C2×Q81192yes—
235C22×C22⋊C4C24116yes—
236C22×C22⋊C4C24116yes—
237C22×C22⋊C4C24132yes—
238#398—2512no—
239#385—2256no—
240#385—2512no—
241C2×#95—296no—
242C2×#95—2192no—
243C2×#95—2192no—
244C2×#95—248no—
245C2×#95—248no—
246C2×#95—296no—
247C2×#95—496no—
248C2×#95C24164yes—
249C2×#95C24132yes—
250C2×#95C24132yes—
251C2×#95C24164yes—
252C2×#95C24116yes—
253C2×#95C24116yes—
254C2×#95C24164yes—
255C25—232no—
256C25—232no—
257C25—2128no—
258C25—232no—
259C25—232no—
260C25—2128no—
261C25—264no—
262C25—264no—
263C25—264no—
264C25—2128no—
265C25—264no—
266C25—2128no—
267C25—224no—
268C25—224no—
269C25—224no—
270C25—224no—
271C25#121164yes—
272C25C22⋊Q81128yes—
273C25#123164yes—
274C25#1251128yes—
275C25C4⋊Q8164yes—
276C25C22×D4124yes—
277C25C22×D4124yes—
278C25C22×D414yes—
279C25C22×D418yes—
280C25C22×D414yes—
281C25C22×Q8148yes—
282C25C22×Q818yes—
283C25C2×#41124yes—
284C25C2×#41148yes—
285C25C2×#4114yes—
286C25C2×#4118yes—
287C25C2×#4118yes—
288C25H(5,𝔽2)18yes—
289C252−1+418yes—
290C25C2514yes—
291C25C2513yes—
292C23×C4—22048no—
293C23×C4—21536no—
294C23×C4—232no—
295C23×C4—2384no—
296C23×C4—232no—
297C23×C4—232no—
298C23×C4—232no—
299C23×C4—2128no—
300C23×C4—2128no—
301C23×C4—224no—
302C23×C4—264no—
303C23×C4—224no—
304C23×C4—224no—
305C23×C4—224no—
306C23×C4—2384no—
307C23×C4—2384no—
308C23×C4—264no—
309C23×C4—264no—
310C23×C4—2768no—
311C23×C4—2128no—
312C23×C4—232no—
313C23×C4—232no—
314C23×C4—2128no—
315C23×C4—264no—
316C23×C4—2128no—
317C23×C4—2128no—
318C23×C4—264no—
319C23×C4—2128no—
320C23×C4—2128no—
321C23×C4—212no—
322C23×C4—212no—
323C23×C4—248no—
324C23×C4—224no—
325C23×C4—264no—
326C23×C4—248no—
327C23×C4—248no—
328C23×C4—248no—
329C23×C4—248no—
330C23×C4—212no—
331C23×C4—212no—
332C23×C4—248no—
333C23×C4—224no—
334C23×C4—248no—
335C23×C4—248no—
336C23×C4—224no—
337C23×C4—248no—
338C23×C4—248no—
339C23×C4—248no—
340C23×C4—224no—
341C23×C4—248no—
342C23×C4—2128no—
343C23×C4—212no—
344C23×C4—212no—
345C23×C4—224no—
346C23×C4—264no—
347C23×C4—224no—
348C23×C4—224no—
349C23×C4—224no—
350C23×C4—264no—
351C23×C4—224no—
352C23×C4—224no—
353C23×C4—464no—
354C23×C4—4768no—
355C23×C4—4768no—
356C23×C4—42048no—
357C23×C4—4384no—
358C23×C4—416no—
359C23×C4—4384no—
360C23×C4—464no—
361C23×C4—416no—
362C23×C4—464no—
363C23×C4—416no—
364C23×C4—464no—
365C23×C4—416no—
366C23×C4—464no—
367C23×C4—464no—
368C23×C4—464no—
369C23×C4—432no—
370C23×C4—464no—
371C23×C4—464no—
372C23×C4—432no—
373C23×C4—416no—
374C23×C4—416no—
375C23×C4—416no—
376C23×C4—416no—
377C23×C4—464no—
378C23×C4—416no—
379C23×C4—416no—
380C23×C4—464no—
381C23×C4#120164yes—
382C23×C4#123164yes—
383C23×C4C22×D4124yes—
384C23×C4C22×D4124yes—
385C23×C4C22×D4196yes—
386C23×C4C22×D4164yes—
387C23×C4C22×D4124yes—
388C23×C4C22×D4148yes—
389C23×C4C22×D4124yes—
390C23×C4C22×Q8196yes—
391C23×C4C2×#41148yes—
392C23×C4C2514yes—
393C23×C4C2514yes—
394C23×C4C2514yes—
395C23×C4C2514yes—
396C23×C4C25116yes—
397C23×C4C25116yes—
398C23×C4C2514yes—
399C23×C4C2514yes—
400C2×C4⋊C4—2768no—
401C2×C4⋊C4—22048no—
402C2×C4⋊C4—2768no—
403C2×C4⋊C4—2128no—
404C2×C4⋊C4—264no—
405C2×C4⋊C4—264no—
406C2×C4⋊C4—264no—
407C2×C4⋊C4—2128no—
408C2×C4⋊C4—232no—
409C2×C4⋊C4—232no—
410C2×C4⋊C4—2128no—
411C2×C4⋊C4—264no—
412C2×C4⋊C4—264no—
413C2×C4⋊C4—464no—
414C2×C4⋊C4—4768no—
415C2×C4⋊C4—4192no—
416C2×C4⋊C4—4192no—
417C2×C4⋊C4C22×D41128yes—
418C2×C22⋊C4—2384no—
419C2×C22⋊C4—2768no—
420C2×C22⋊C4—232no—
421C2×C22⋊C4—264no—
422C2×C22⋊C4—232no—
423C2×C22⋊C4—264no—
424C2×C22⋊C4—232no—
425C2×C22⋊C4—264no—
426C2×C22⋊C4—4192no—
427C2×C22⋊C4C22×D4164yes—
428C2×C22⋊C4C22×Q81128yes—
429#95—2128no—
430#95—232no—
431#95—232no—
432#95—264no—
433#95—2128no—
434#95—264no—
435#95—464no—
436C24—28no—
437C24—28no—
438C24—28no—
439C24—28no—
440C24—2256no—
441C24—2256no—
442C24—248no—
443C24—2256no—
444C24—248no—
445C24—2192no—
446C24—248no—
447C24—248no—
448C24—2192no—
449C24—2256no—
450C24—296no—
451C24—296no—
452C24—296no—
453C24—2192no—
454C24—296no—
455C24—2192no—
456C24—21024no—
457C24—21024no—
458C24—2256no—
459C24—2256no—
460C24#3981512yescomplemented
461C24C2×#120116yes—
462C24C2×#121196yes—
463C24C2×#121116yes—
464C24C2×C22⋊Q81192yes—
465C24C2×C22⋊Q8132yes—
466C24C2×#123196yes—
467C24C2×#123116yes—
468C24C2×#123116yes—
469C24#525164yes—
470C24C2×#1251192yes—
471C24C2×#125132yes—
472C24C2×C4⋊Q8196yes—
473C24C2×C4⋊Q8116yes—
474C24#535116yes—
475C24#536116yes—
476C24#539164yes—
477C24D42132yes—
478C24#546132yes—
479C24#547132yes—
480C24D4×Q8164yes—
481C24#552132yes—
482C24#554164yes—
483C24C23×D418yes—
484C24C23×D418yes—
485C24C23×D416yes—
486C24C23×D4112yes—
487C24C23×D416yes—
488C24C23×Q8116yes—
489C24C23×Q8112yes—
490C24C22×#4118yes—
491C24C22×#41116yes—
492C24C22×#4116yes—
493C24C22×#41112yes—
494C24C22×#41112yes—
495C24C2×H(5,𝔽2)112yes—
496C24C2×2−1+4112yes—
497C24C2611yescharacteristic
498C22×C4—23072no—
499C22×C4—2512no—
500C22×C4—28no—
501C22×C4—28no—
502C22×C4—28no—
503C22×C4—28no—
504C22×C4—2256no—
505C22×C4—2256no—
506C22×C4—248no—
507C22×C4—2128no—
508C22×C4—248no—
509C22×C4—248no—
510C22×C4—248no—
511C22×C4—2192no—
512C22×C4—2192no—
513C22×C4—2128no—
514C22×C4—2128no—
515C22×C4—2256no—
516C22×C4—216no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—216no—
520C22×C4—216no—
521C22×C4—28no—
522C22×C4—216no—
523C22×C4—216no—
524C22×C4—216no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—216no—
528C22×C4—28no—
529C22×C4—216no—
530C22×C4—216no—
531C22×C4—216no—
532C22×C4—28no—
533C22×C4—216no—
534C22×C4—216no—
535C22×C4—28no—
536C22×C4—2192no—
537C22×C4—248no—
538C22×C4—248no—
539C22×C4—2192no—
540C22×C4—296no—
541C22×C4—2192no—
542C22×C4—2192no—
543C22×C4—296no—
544C22×C4—2192no—
545C22×C4—2192no—
546C22×C4—24no—
547C22×C4—28no—
548C22×C4—24no—
549C22×C4—28no—
550C22×C4—28no—
551C22×C4—28no—
552C22×C4—28no—
553C22×C4—28no—
554C22×C4—4256no—
555C22×C4—4256no—
556C22×C4—43072no—
557C22×C4—4128no—
558C22×C4—424no—
559C22×C4—4128no—
560C22×C4—4512no—
561C22×C4—4128no—
562C22×C4—496no—
563C22×C4—424no—
564C22×C4—496no—
565C22×C4—424no—
566C22×C4—496no—
567C22×C4—424no—
568C22×C4—496no—
569C22×C4—496no—
570C22×C4—496no—
571C22×C4—448no—
572C22×C4—496no—
573C22×C4—496no—
574C22×C4—448no—
575C22×C4—4512no—
576C22×C4—4128no—
577C22×C4—424no—
578C22×C4—424no—
579C22×C4—424no—
580C22×C4—424no—
581C22×C4—496no—
582C22×C4—424no—
583C22×C4—424no—
584C22×C4—496no—
585C22×C4—864no—
586C22×C4—864no—
587C22×C4C2×#120196yes—
588C22×C4C2×#123196yes—
589C22×C4C23×D418yes—
590C22×C4C23×D4132yes—
591C22×C4C23×D418yes—
592C22×C4C23×D418yes—
593C22×C4C23×D4116yes—
594C22×C4C23×D418yes—
595C22×C4C23×Q8132yes—
596C22×C4C22×#41116yes—
597C4⋊C4—2256no—
598C4⋊C4—2256no—
599C4⋊C4—4256no—
600C4⋊C4—464no—
601C4⋊C4—464no—
602C22⋊C4—2128no—
603C22⋊C4—2256no—
604C22⋊C4—464no—
605C23—2192no—
606C23—2192no—
607C23—2768no—
608C23—2768no—
609C23—2192no—
610C23—2192no—
611C23—28no—
612C23—22048no—
613C23—28no—
614C23—2192no—
615C23—232no—
616C23—2192no—
617C23—232no—
618C23—28no—
619C23—28no—
620C23—216no—
621C23—232no—
622C23—216no—
623C23—216no—
624C23—232no—
625C23—216no—
626C23C2×#398164yes—
627C23C2×#3981384yescomplemented
628C23#2408164yes—
629C23#2434164yes—
630C23#24491256yes—
631C23#24731256yes—
632C23#2486164yes—
633C23#2502164yes—
634C23#2623164yes—
635C23#2849164yes—
636C23C22×#120112yes—
637C23C22×#121116yes—
638C23C22×#121112yes—
639C23C22×C22⋊Q8132yes—
640C23C22×C22⋊Q8124yes—
641C23C22×#123116yes—
642C23C22×#123112yes—
643C23C22×#123112yes—
644C23C2×#525148yes—
645C23C22×#125132yes—
646C23C22×#125124yes—
647C23C22×C4⋊Q8116yes—
648C23C22×C4⋊Q8112yes—
649C23C2×#535112yes—
650C23C2×#536112yes—
651C23C2×#539148yes—
652C23C2×D42124yes—
653C23C2×#546124yes—
654C23C2×#547124yes—
655C23C2×D4×Q8148yes—
656C23C2×#552124yes—
657C23C2×#554148yes—
658C23C24×D411yescharacteristic
659C23C24×D412yes—
660C23C24×D411yescharacteristic
661C23C24×Q812yes—
662C23C23×#4111yescharacteristic
663C23C23×#4112yes—
664C23C23×#4112yes—
665C23C22×H(5,𝔽2)12yes—
666C23C22×2−1+412yes—
667C2×C4—2512no—
668C2×C4—2192no—
669C2×C4—2192no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—232no—
675C2×C4—232no—
676C2×C4—232no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—232no—
680C2×C4—216no—
681C2×C4—232no—
682C2×C4—232no—
683C2×C4—232no—
684C2×C4—216no—
685C2×C4—232no—
686C2×C4—4512no—
687C2×C4—4384no—
688C2×C4—496no—
689C2×C4—4384no—
690C2×C4—44no—
691C2×C4—416no—
692C2×C4—44no—
693C2×C4—496no—
694C2×C4—416no—
695C2×C4—416no—
696C2×C4—44no—
697C2×C4—416no—
698C2×C4—44no—
699C2×C4—416no—
700C2×C4—416no—
701C2×C4—48no—
702C2×C4—416no—
703C2×C4—416no—
704C2×C4—48no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—416no—
710C2×C4—416no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—848no—
714C2×C4—848no—
715C2×C4C22×#120116yes—
716C2×C4C22×#123116yes—
717C22—264no—
718C22—264no—
719C22—216no—
720C22—216no—
721C22—216no—
722C22—216no—
723C22—216no—
724C22—216no—
725C22—2768no—
726C22#147861256yesdirect product factor
727C22C22×#398124yes—
728C22C22×#398132yescomplemented
729C22C2×#2623124yes—
730C22C2×#2449196yes—
731C22C2×#2473196yes—
732C22C2×#2408124yes—
733C22C2×#2434124yes—
734C22C2×#2486124yes—
735C22C2×#2502124yes—
736C22C2×#2849124yes—
737C22C23×#12011yescharacteristic
738C22C23×#12111yescharacteristic
739C22C23×C22⋊Q812yes—
740C22C23×#12311yescharacteristic
741C22C23×#12311yescharacteristic
742C22C22×#52514yes—
743C22C23×#12512yes—
744C22C23×C4⋊Q811yescharacteristic
745C22C22×#53914yes—
746C22C22×#53511yescharacteristic
747C22C22×#53611yescharacteristic
748C22C22×D4212yes—
749C22C22×D4×Q814yes—
750C22C22×#54612yes—
751C22C22×#54712yes—
752C22C22×#55414yes—
753C22C22×#55212yes—
754C4—216no—
755C4—216no—
756C4—432no—
757C4—48no—
758C4—432no—
759C4—48no—
760C4—84no—
761C4—84no—
762C2—232no—
763C2C2×#14786148yesdirect product factor
764C2C23×#39811yescharacteristic
765C2C22×#262311yescharacteristic
766C2C22×#244914yes—
767C2C22×#247314yes—
768C2C22×#240811yescharacteristic
769C2C22×#243411yescharacteristic
770C2C22×#248611yescharacteristic
771C2C22×#250211yescharacteristic
772C2C22×#284911yescharacteristic
subgroupG/H
center, socleC26C24
commutator, Frattini, cosocleC24C26
prime radicalC27C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C23×#398C2semidirect
5. C2×#14786C2direct (N × H)
6. C22×#1445C2semidirect
7. C22×#1444C2semidirect
8. C22×#1441C2semidirect
25. C22×#398C22semidirect
37. #14786C22direct (N × H)
38. C2×#1445C22semidirect
39. C2×#1444C22semidirect
40. C2×#1441C22semidirect
96. C2×#398C23semidirect
115. #1445C23semidirect
116. #1444C23semidirect
117. #1441C23semidirect
460. C24#398semidirect
627. C23C2×#398semidirect
726. C22#14786direct (N × H)
728. C22C22×#398semidirect
763. C2C2×#14786direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C25×C4⋊C42
C23×#3982
C23×#3852
C2×#147862
C22×#14452
C22×#14442
C22×#14412
C22×C22⋊#952